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Finding the Fourth Proportional to 20,477.16, 30,717.36 and 8,787.42

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Solution

The fourth proportional to 20,477.16, 30,717.36 and 8,787.42 is: 13,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.16 : 30,717.36 = 8,787.42 : x
  2. Step 2: Convert to fraction form
    20,477.16/30,717.36 = 8,787.42/x
  3. Step 3: Cross multiply
    20,477.16x = 30,717.36 × 8,787.42
  4. Step 4: Simplify right side
    20,477.16x = 269,926,343.61
  5. Step 5: Solve for x
    x = 269,926,343.61/20,477.16
  6. Step 6: Final answer
    x = 13,181.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.